The geometric mean is not defined when any observation is: MCQ with Answer and Explanation

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The geometric mean is not defined when any observation is:

A. Zero or negative

B. Positive

C. Greater than 1

D. A fraction

Answer: Option A

Solution (By JKSSB Mock Tests)

GM requires all values to be strictly positive; zero or negatives make it undefined.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

Weighted index numbers are preferred over simple indices because they:

A. Are easier to calculate

B. Always satisfy the circular test

C. Do not require quantity data

D. Account for the relative importance of different items in the basket

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Correct Answer: Option D

Explanation:
Weighted indices assign weights (e.g., expenditure shares) to reflect the economic significance of items, providing a more realistic measure of overall change than simple indices that treat all items equally.

This question belongs to: Accountancy and Statistics Statistics

Question #2

For a frequency distribution with classes 0-10, 10-20, 20-30, the class mark of the second class is:

A. 10

B. 20

C. 25

D. 15

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Correct Answer: Option D

Explanation:
Midpoint = (10+20)/2 = 15.

This question belongs to: Accountancy and Statistics Statistics

Question #3

If events A and B are independent, which of the following is true regarding their complements A' and B'?

A. They are completely associated

B. They are also independent

C. They are mutually exclusive

D. They are dependent

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Correct Answer: Option B

Explanation:
A fundamental theorem of probability states that if A and B are independent, their complements A' and B' are also independent.

This question belongs to: Accountancy and Statistics Statistics

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